The role of Allee effects for Gaussian and Lévy dispersals in an environmental niche

Dipierro, Serena; Proietti Lippi, Edoardo; Valdinoci, Enrico

doi:10.1007/s00285-024-02106-8

J. Math. Biol.

2024

DOI: 10.1007/s00285-024-02106-8

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The role of Allee effects for Gaussian and Lévy dispersals in an environmental niche

Serena Dipierro,

Edoardo Proietti Lippi,

Enrico Valdinoci

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2024

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Cited by 1 publication

References 26 publications

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Some maximum principles for parabolic mixed local/nonlocal operators

Dipierro,

Proietti Lippi,

Valdinoci

2024

Proc. Amer. Math. Soc.

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The goal of this paper is to establish new Maximum Principles for parabolic equations in the framework of mixed local/nonlocal operators. In particular, these results apply to the case of mixed local/nonlocal Neumann boundary conditions, as introduced by Dipierro, Proietti Lippi, and Valdinoci [Ann. Inst. H. Poincaré C Anal. Non Linéaire 40 (2023), pp. 1093–1166]. Moreover, they play an important role in the analysis of population dynamics involving the so-called Allee effect, which is performed by Dipierro, Proietti Lippi, and Valdinoci [J. Math. Biol. 89 (2024), Paper No. 19]. This is particularly relevant when studying biological populations, since the Allee effect detects a critical density below which the population is severely endangered and at risk of extinction.

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Some maximum principles for parabolic mixed local/nonlocal operators

Dipierro,

Proietti Lippi,

Valdinoci

2024

Proc. Amer. Math. Soc.

View full text Add to dashboard Cite

show abstract

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The role of Allee effects for Gaussian and Lévy dispersals in an environmental niche

Cited by 1 publication

References 26 publications

Some maximum principles for parabolic mixed local/nonlocal operators

Some maximum principles for parabolic mixed local/nonlocal operators

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